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Finding the Fourth Proportional to 318,415.72, 477,845.01 and 205,816.66

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Solution

The fourth proportional to 318,415.72, 477,845.01 and 205,816.66 is: 308,868.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,415.72 : 477,845.01 = 205,816.66 : x
  2. Step 2: Convert to fraction form
    318,415.72/477,845.01 = 205,816.66/x
  3. Step 3: Cross multiply
    318,415.72x = 477,845.01 × 205,816.66
  4. Step 4: Simplify right side
    318,415.72x = 98,348,461,566.64
  5. Step 5: Solve for x
    x = 98,348,461,566.64/318,415.72
  6. Step 6: Final answer
    x = 308,868.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.